University of Toronto's Symplectic Geometry Seminar

Feburary 26, 2007, 3:10pm
BA 2165

Jake Solomon

Institute for Advanced Study

Open Gromov-Witten theory on the quintic threefold

Abstract: I plan to discuss the definition of open Gromov-Witten invariants for Lagrangian submanifolds that arise as the real points of a real symplectic manifold. To illustrate how the definition works in practice, I will describe a calculation of the genus zero open Gromov-Witten theory of the quintic threefold and its real Lagrangian. The result fits nicely into the general framework of mirror symmetry. This calculation represents joint work with R. Pandharipande and J. Walcher.